POLYNOMIAL FIRST INTEGRALS FOR WEIGHT-HOMOGENEOUS PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS OF WEIGHT DEGREE 4

Autor: LLIBRE, JAUME, VALLS, CLAUDIA

Publikováno v: The Rocky Mountain Journal of Mathematics, 2016 Jan 01. 46(5), 1619-1642.

Externí odkaz: https://www.jstor.org/stable/26413573

Generalized Analytic Integrability of a Class of Polynomial Differential Systems in $\mathbb{C}^{2}$

Autor: Yuzhou Tian, Jaume Llibre

Publikováno v: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

This paper study the type of integrability of differential systems with separable variables $\dot{x}=h\left (x\right )f\left (y\right )$ , $\dot{y}= g\left (y\right )$ , where $h$ , $f$ and $g$ are polynomials. We provide a criterion for the existenc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2eaeb654a3647bbc1733f9ebe311d0a6
https://doi.org/10.1007/s10440-021-00407-4

On the polynomial integrability of the Hoyer systems

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______272::83379c7de8d17806871999e7311611d4
https://hdl.handle.net/2072/410541

Integrability in nonlinear biomathematical models

Autor: Claudia Valls, Jaume Llibre

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
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Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona

Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon We study the integrability of two biomathematical models described by quadratic polynomial differential systems in the plane. These two models can be divided in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ffc41f12106ee79575f50286e846c3d
http://hdl.handle.net/2072/410592

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